<h2>题目编号 : 251</h2>
<div style="color:#666;font-size:80%;">20 June 2009</div><br />
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<p>
A triplet of positive integers (<var>a</var>,<var>b</var>,<var>c</var>) is called a Cardano Triplet if it satisfies the condition:</p>
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<img src="project/images/p_251_cardano.gif" alt="" /></div>
<p>
For example, (2,1,5) is a Cardano Triplet.
</p>
<p>
There exist 149 Cardano Triplets for which <var>a</var>+<var>b</var>+<var>c</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> 1000.
</p>
<p>
Find how many Cardano Triplets exist such that <var>a</var>+<var>b</var>+<var>c</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> 110,000,000.

<p class="info">Note: This problem has been changed recently, please check that you are using the right parameters.</p>
 

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